6. A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected from grades 4, 5, and 6 from schools in a certain state. They were asked what they would most like to do at school: make good grades, be popular, or excel in sports. Results follow: a. Personal Goals Make Good Grades Be Popular Excel in Sports Boys 75 32 154 Girls 295 45 40 Conduct a test of hypothesis to see if gender and personal goals of students have a relationship, use a significance level of .05. Show the 5 steps and use the x² - test function on your calculator to make a decision. Report the expected value matrix as well.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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6.
A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students
was selected from grades 4, 5, and 6 from schools in a certain state. They were asked what they would most like to do
at school: make good grades, be popular, or excel in sports. Results follow:
a.
Personal Goals
Make Good Grades
Be Popular
Excel in Sports
Boys
75
32
154
Girls
295
45
40
Conduct a test of hypothesis to see if gender and personal goals of students have a relationship, use a significance
level of .05. Show the 5 steps and use the x² - - test function on your calculator to make a decision. Report the
expected value matrix as well.
b. Compute the Phi-coefficient, and interpret it in terms of the variables.
Transcribed Image Text:6. A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected from grades 4, 5, and 6 from schools in a certain state. They were asked what they would most like to do at school: make good grades, be popular, or excel in sports. Results follow: a. Personal Goals Make Good Grades Be Popular Excel in Sports Boys 75 32 154 Girls 295 45 40 Conduct a test of hypothesis to see if gender and personal goals of students have a relationship, use a significance level of .05. Show the 5 steps and use the x² - - test function on your calculator to make a decision. Report the expected value matrix as well. b. Compute the Phi-coefficient, and interpret it in terms of the variables.
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